##############ECHO OF PROBLEM################# ##############temp/tanh_sqrt_newpostode.ode################# diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh ( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=2.0 x_end=3.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 $glob_max_h=0.0001 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=30.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(tanh(sqrt(2.0*x + 1.0))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 1.0 estimated_steps 1000000.0 step_error 1.0e-16 est_needed_step_err 1.0e-16 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.530345173114179e-170 estimated_step_error 6.530345173114179e-170 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.38243962801452e-162 estimated_step_error 4.38243962801452e-162 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.941004331892202e-154 estimated_step_error 2.941004331892202e-154 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.9736730968326754e-146 estimated_step_error 1.9736730968326754e-146 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.3245075804377394e-138 estimated_step_error 1.3245075804377394e-138 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.888592877999471e-131 estimated_step_error 8.888592877999471e-131 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.9649974269449676e-123 estimated_step_error 5.9649974269449676e-123 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.00299331880458e-115 estimated_step_error 4.00299331880458e-115 best_h 0.0001 START of Soultion TOP MAIN SOLVE Loop x[1] 2.0 y[1] (analytic) 0.9774122355837788 y[1] (numeric) 0.9774122355837788 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.5220536693043725 Order of pole (three term test) 0.11899783886678376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000021 y[1] (analytic) 0.9776109167098525 y[1] (numeric) 0.9776109253868541 absolute error 8.67700167273e-09 relative error 8.875720927843597e-07% Correct digits 9 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.5322232166153436 Order of pole (three term test) 0.11733344878758331 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000042 y[1] (analytic) 0.9778074796156186 y[1] (numeric) 0.9778074968617605 absolute error 1.7246141847948593e-08 relative error 1.7637563843066678e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.542393164142636 Order of pole (three term test) 0.11567202030405757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000633 y[1] (analytic) 0.9780019514515804 y[1] (numeric) 0.9780019771605898 absolute error 2.570900936582632e-08 relative error 2.628727818760302e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.5525635100583237 Order of pole (three term test) 0.11401354818639693 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000844 y[1] (analytic) 0.9781943589548037 y[1] (numeric) 0.9781943930219678 absolute error 3.4067164089712776e-08 relative error 3.48265799918468e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.5627342525534265 Order of pole (three term test) 0.11235802706419484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000001055 y[1] (analytic) 0.9783847284562971 y[1] (numeric) 0.9783847707784368 absolute error 4.232213968169418e-08 relative error 4.325715482954275e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.5729053898383865 Order of pole (three term test) 0.11070545142486041 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0600000000001266 y[1] (analytic) 0.9785730858882377 y[1] (numeric) 0.9785731363636813 absolute error 5.047544360259337e-08 relative error 5.1580657929885215e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.5830769201422266 Order of pole (three term test) 0.10905581562368998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0700000000001477 y[1] (analytic) 0.9787594567910491 y[1] (numeric) 0.9787595153196083 absolute error 5.852855911037125e-08 relative error 5.979871632838408e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.593248841712685 Order of pole (three term test) 0.10740911388425724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.080000000000169 y[1] (analytic) 0.9789438663203346 y[1] (numeric) 0.9789439328032759 absolute error 6.648294126332388e-08 relative error 6.7912924888350055e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6034211528159146 Order of pole (three term test) 0.1057653403041707 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.09000000000019 y[1] (analytic) 0.9791263392536668 y[1] (numeric) 0.9791264135936891 absolute error 7.434002236017534e-08 relative error 7.592485196225094e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.613593851736225 Order of pole (three term test) 0.10412448885941918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100000000000211 y[1] (analytic) 0.9793068999972409 y[1] (numeric) 0.9793069820984511 absolute error 8.210121027474315e-08 relative error 8.383603778853643e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6237669367760708 Order of pole (three term test) 0.1024865534063755 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.110000000000232 y[1] (analytic) 0.9794855725923918 y[1] (numeric) 0.9794856623602809 absolute error 8.976788912207212e-08 relative error 9.164799526805138e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6339404062556335 Order of pole (three term test) 0.10085152768780799 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1200000000002532 y[1] (analytic) 0.9796623807219783 y[1] (numeric) 0.9796624780633975 absolute error 9.734141914741201e-08 relative error 9.936220994387337e-06% Correct digits 8 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6441142585127384 Order of pole (three term test) 0.09921940533512179 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1300000000002743 y[1] (analytic) 0.9798373477166399 y[1] (numeric) 0.979837452539778 absolute error 1.048231381695075e-07 relative error 1.0698014156510945e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.654288491902762 Order of pole (three term test) 0.09759017987219738 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1400000000002954 y[1] (analytic) 0.980010496560926 y[1] (numeric) 0.9800106087752878 absolute error 1.1221436180264277e-07 relative error 1.1450322440058329e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6644631047981515 Order of pole (three term test) 0.09596384472029947 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1500000000003165 y[1] (analytic) 0.9801818498993026 y[1] (numeric) 0.980181969415686 absolute error 1.195163834566415e-07 relative error 1.2193286732346638e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6746380955886218 Order of pole (three term test) 0.09434039319892734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1600000000003376 y[1] (analytic) 0.9803514300420387 y[1] (numeric) 0.9803515567725125 absolute error 1.267304737817554e-07 relative error 1.2927045332745731e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.684813462680532 Order of pole (three term test) 0.09271981853235153 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1700000000003588 y[1] (analytic) 0.980519258970975 y[1] (numeric) 0.9805193928288595 absolute error 1.338578844434224e-07 relative error 1.365173434572842e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.694989204497046 Order of pole (three term test) 0.09110211385056448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18000000000038 y[1] (analytic) 0.9806853583451771 y[1] (numeric) 0.9806854992450219 absolute error 1.4089984479159767e-07 relative error 1.4367487348781686e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7051653194777923 Order of pole (three term test) 0.08948727219356784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.190000000000401 y[1] (analytic) 0.9808497495064775 y[1] (numeric) 0.9808498973640426 absolute error 1.4785756508040038e-07 relative error 1.5074435728285205e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.715341806078712 Order of pole (three term test) 0.08787528651405144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.200000000000422 y[1] (analytic) 0.9810124534849067 y[1] (numeric) 0.9810126082171413 absolute error 1.5473223458073448e-07 relative error 1.577270849427755e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7255186627718775 Order of pole (three term test) 0.08626614968060341 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.210000000000443 y[1] (analytic) 0.9811734910040177 y[1] (numeric) 0.9811736525290405 absolute error 1.6152502280153413e-07 relative error 1.6462432412054713e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.735695888045368 Order of pole (three term test) 0.0846598544809375 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2200000000004643 y[1] (analytic) 0.9813328824861055 y[1] (numeric) 0.9813330507231867 absolute error 1.6823708115509817e-07 relative error 1.7143732178716655e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7458734804028477 Order of pole (three term test) 0.083056393625617 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2300000000004854 y[1] (analytic) 0.9814906480573237 y[1] (numeric) 0.9814908229268655 absolute error 1.748695418468671e-07 relative error 1.7816730316584114e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.75605143836373 Order of pole (three term test) 0.08145575974864286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2400000000005065 y[1] (analytic) 0.981646807552701 y[1] (numeric) 0.9816469889762196 absolute error 1.8142351865257922e-07 relative error 1.8481547258822953e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7662297604628323 Order of pole (three term test) 0.07985794541228673 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2500000000005276 y[1] (analytic) 0.9818013805210604 y[1] (numeric) 0.9818015684211663 absolute error 1.8790010591906992e-07 relative error 1.9138301253900032e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7764084452500946 Order of pole (three term test) 0.07826294310966013 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2600000000005487 y[1] (analytic) 0.9819543862298417 y[1] (numeric) 0.9819545805302239 absolute error 1.943003822280076e-07 relative error 1.9787108744838233e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.786587491290735 Order of pole (three term test) 0.07667074526575673 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27000000000057 y[1] (analytic) 0.9821058436698304 y[1] (numeric) 0.9821060442952373 absolute error 2.006254068431801e-07 relative error 2.042808401317561e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7967668971645163 Order of pole (three term test) 0.07508134424343661 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.280000000000591 y[1] (analytic) 0.9822557715597956 y[1] (numeric) 0.9822559784360185 absolute error 2.068762229301413e-07 relative error 2.106133951258209e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8069466614663634 Order of pole (three term test) 0.07349473234103791 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.290000000000612 y[1] (analytic) 0.9824041883510375 y[1] (numeric) 0.9824044014048945 absolute error 2.130538570010998e-07 relative error 2.1686985817793597e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8171267828054756 Order of pole (three term test) 0.07191090179907714 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.300000000000633 y[1] (analytic) 0.982551112231848 y[1] (numeric) 0.9825513313911663 absolute error 2.191593183598073e-07 relative error 2.2305131573459895e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8273072598054063 Order of pole (three term test) 0.07032984480227401 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.310000000000654 y[1] (analytic) 0.9826965611318853 y[1] (numeric) 0.9826967863254854 absolute error 2.2519360010075928e-07 relative error 2.2915883601075978e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.837488091104114 Order of pole (three term test) 0.06875155347903827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3200000000006753 y[1] (analytic) 0.9828405527264642 y[1] (numeric) 0.9828407838841443 absolute error 2.3115768010839588e-07 relative error 2.351934700569175e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8476692753535366 Order of pole (three term test) 0.06717601990633379 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3300000000006964 y[1] (analytic) 0.9829831044407655 y[1] (numeric) 0.9829833414932853 absolute error 2.370525197248341e-07 relative error 2.411562504522364e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8578508112194645 Order of pole (three term test) 0.065603236111698 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3400000000007175 y[1] (analytic) 0.9831242334539642 y[1] (numeric) 0.9831244763330301 absolute error 2.4287906597031395e-07 relative error 2.4704819361131843e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.86803269738157 Order of pole (three term test) 0.0640331940742814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3500000000007386 y[1] (analytic) 0.9832639567032789 y[1] (numeric) 0.9832642053415295 absolute error 2.486382505439977e-07 relative error 2.5287029881339343e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.878214932532942 Order of pole (three term test) 0.062465885728355604 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3600000000007597 y[1] (analytic) 0.9834022908879467 y[1] (numeric) 0.9834025452189362 absolute error 2.5433098949090294e-07 relative error 2.5862354790861733e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.888397515380169 Order of pole (three term test) 0.060901302964839664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.370000000000781 y[1] (analytic) 0.9835392524731199 y[1] (numeric) 0.9835395124313053 absolute error 2.599581854223487e-07 relative error 2.6430890761978345e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.898580444643197 Order of pole (three term test) 0.0593394376322744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.380000000000802 y[1] (analytic) 0.983674857693691 y[1] (numeric) 0.983675123214418 absolute error 2.6552072696084394e-07 relative error 2.6992732901944834e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.9087637190549285 Order of pole (three term test) 0.05778028154135127 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390000000000823 y[1] (analytic) 0.9838091225580459 y[1] (numeric) 0.9838093935775327 absolute error 2.7101948685270827e-07 relative error 2.7547974565230544e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.918947337361358 Order of pole (three term test) 0.056223826464122696 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.400000000000844 y[1] (analytic) 0.9839420628517457 y[1] (numeric) 0.9839423393070716 absolute error 2.76455325964875e-07 relative error 2.809670776383198e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.9291312983213302 Order of pole (three term test) 0.054670064137450666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4100000000008652 y[1] (analytic) 0.9840736941411402 y[1] (numeric) 0.9840739759702319 absolute error 2.818290917305788e-07 relative error 2.863902301306284e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.939315600706073 Order of pole (three term test) 0.05311898626572952 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4200000000008863 y[1] (analytic) 0.9842040317769145 y[1] (numeric) 0.9842043189185312 absolute error 2.8714161670606586e-07 relative error 2.9175009188658868e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.949500243299766 Order of pole (three term test) 0.05157058451951037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4300000000009074 y[1] (analytic) 0.9843330908975683 y[1] (numeric) 0.9843333832912896 absolute error 2.923937213461514e-07 relative error 2.970475381250578e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.959685224898654 Order of pole (three term test) 0.05002485054098464 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4400000000009285 y[1] (analytic) 0.9844608864328314 y[1] (numeric) 0.9844611840190448 absolute error 2.9758621344910807e-07 relative error 3.0228342999730953e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.9698705443112243 Order of pole (three term test) 0.04848177594403206 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4500000000009496 y[1] (analytic) 0.9845874331070166 y[1] (numeric) 0.9845877358269055 absolute error 3.027198889338223e-07 relative error 3.0745861541066324e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.980056200358241 Order of pole (three term test) 0.046941352314458076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4600000000009707 y[1] (analytic) 0.984712745442309 y[1] (numeric) 0.9847130532378398 absolute error 3.07795530729571e-07 relative error 3.1257392793399534e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.9902421918723228 Order of pole (three term test) 0.04540357121404017 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.470000000000992 y[1] (analytic) 0.9848368377619967 y[1] (numeric) 0.9848371505759058 absolute error 3.128139091090887e-07 relative error 3.176301871688168e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.000428517697851 Order of pole (three term test) 0.043868424181047076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.480000000001013 y[1] (analytic) 0.9849597241936403 y[1] (numeric) 0.9849600419694234 absolute error 3.177757831318573e-07 relative error 3.226282002464737e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0106151766907683 Order of pole (three term test) 0.04233590273337579 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.490000000001034 y[1] (analytic) 0.9850814186721856 y[1] (numeric) 0.9850817413540853 absolute error 3.2268189975592776e-07 relative error 3.2756876095671185e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0208021677188754 Order of pole (three term test) 0.0408059983658595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.500000000001055 y[1] (analytic) 0.9852019349430188 y[1] (numeric) 0.9852022624760144 absolute error 3.2753299561427696e-07 relative error 3.324526515807346e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0309894896611036 Order of pole (three term test) 0.03927870255620906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5100000000010763 y[1] (analytic) 0.9853212865649666 y[1] (numeric) 0.985321618894761 absolute error 3.323297943502723e-07 relative error 3.3728064021517545e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0411771414077426 Order of pole (three term test) 0.037754006765090935 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5200000000010974 y[1] (analytic) 0.9854394869132407 y[1] (numeric) 0.9854398239862507 absolute error 3.370730100593633e-07 relative error 3.4205348429379474e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0513651218600972 Order of pole (three term test) 0.03623190243703351 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5300000000011185 y[1] (analytic) 0.9855565491823299 y[1] (numeric) 0.9855568909456747 absolute error 3.4176334473556835e-07 relative error 3.4677192802291595e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0615534299308025 Order of pole (three term test) 0.03471238100008767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5400000000011396 y[1] (analytic) 0.9856724863888392 y[1] (numeric) 0.9856728327903296 absolute error 3.4640149038089874e-07 relative error 3.5143670454878294e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0717420645430122 Order of pole (three term test) 0.033195433871732474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5500000000011607 y[1] (analytic) 0.9857873113742784 y[1] (numeric) 0.9857876623624064 absolute error 3.5098812800615775e-07 relative error 3.5604853496932106e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0819310246306735 Order of pole (three term test) 0.031681052457167395 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5600000000011818 y[1] (analytic) 0.9859010368077995 y[1] (numeric) 0.9859013923317282 absolute error 3.555239287411638e-07 relative error 3.606081294855894e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0921203091385263 Order of pole (three term test) 0.030169228149024722 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.570000000001203 y[1] (analytic) 0.9860136751888857 y[1] (numeric) 0.9860140351984396 absolute error 3.600095538347503e-07 relative error 3.651161874258844e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.102309917021653 Order of pole (three term test) 0.02865995233297141 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.580000000001224 y[1] (analytic) 0.986125238849992 y[1] (numeric) 0.9861256032956464 absolute error 3.6444565432169895e-07 relative error 3.695733969315209e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1124998472456924 Order of pole (three term test) 0.027153216383768768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.590000000001245 y[1] (analytic) 0.9862357399591387 y[1] (numeric) 0.9862361087920104 absolute error 3.6883287168887335e-07 relative error 3.739804356554293e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.122690098786213 Order of pole (three term test) 0.025649011672526076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.600000000001266 y[1] (analytic) 0.9863451905224584 y[1] (numeric) 0.9863455636942953 absolute error 3.731718368760184e-07 relative error 3.783379697713663e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1328806706291292 Order of pole (three term test) 0.024147329562145492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6100000000012873 y[1] (analytic) 0.9864536023866978 y[1] (numeric) 0.9864539798498702 absolute error 3.77463172385184e-07 relative error 3.8264665613458365e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1430715617704013 Order of pole (three term test) 0.022648161410923445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6200000000013084 y[1] (analytic) 0.9865609872416755 y[1] (numeric) 0.9865613689491668 absolute error 3.8170749128152437e-07 relative error 3.869071412896022e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1532627712158057 Order of pole (three term test) 0.021151498574026872 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6300000000013295 y[1] (analytic) 0.9866673566226957 y[1] (numeric) 0.9866677425280913 absolute error 3.8590539563898574e-07 relative error 3.9112005991554964e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1634542979808193 Order of pole (three term test) 0.01965733240421558 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6400000000013506 y[1] (analytic) 0.9867727219129198 y[1] (numeric) 0.9867731119704017 absolute error 3.9005748198039925e-07 relative error 3.952860403601842e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1736461410905292 Order of pole (three term test) 0.018165654253284872 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6500000000013717 y[1] (analytic) 0.986877094345696 y[1] (numeric) 0.9868774885100304 absolute error 3.9416433439409815e-07 relative error 3.994056976825781e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1838382995798815 Order of pole (three term test) 0.016676455470472445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.660000000001393 y[1] (analytic) 0.986980485006848 y[1] (numeric) 0.9869808832333801 absolute error 3.982265320834344e-07 relative error 4.034796413230717e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.194030772492965 Order of pole (three term test) 0.015189727406972404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.670000000001414 y[1] (analytic) 0.9870829048369233 y[1] (numeric) 0.9870833070815659 absolute error 4.0224464259441817e-07 relative error 4.075084682586751e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2042235588831582 Order of pole (three term test) 0.013705461415529464 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.680000000001435 y[1] (analytic) 0.987184364633403 y[1] (numeric) 0.987184770852629 absolute error 4.062192260345654e-07 relative error 4.114927672962258e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.214416657813219 Order of pole (three term test) 0.012223648850715264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.690000000001456 y[1] (analytic) 0.9872848750528721 y[1] (numeric) 0.9872852852037062 absolute error 4.10150834073697e-07 relative error 4.154331180772239e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2246100683549184 Order of pole (three term test) 0.010744281070114325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.700000000001477 y[1] (analytic) 0.9873844466131529 y[1] (numeric) 0.9873848606531644 absolute error 4.140400114982512e-07 relative error 4.1933009266902885e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.234803789589031 Order of pole (three term test) 0.009267349435806099 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7100000000014983 y[1] (analytic) 0.9874830896954004 y[1] (numeric) 0.9874835075826941 absolute error 4.1788729365777044e-07 relative error 4.2318425299482566e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2449978206052057 Order of pole (three term test) 0.007792845314461034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7200000000015194 y[1] (analytic) 0.9875808145461626 y[1] (numeric) 0.9875812362393723 absolute error 4.2169320968454826e-07 relative error 4.2699615411052216e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.255192160501805 Order of pole (three term test) 0.006320760079275529 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7300000000015405 y[1] (analytic) 0.9876776312794039 y[1] (numeric) 0.9876780567376823 absolute error 4.254582783858041e-07 relative error 4.3076634006045064e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2653868083859505 Order of pole (three term test) 0.004851085109506137 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7400000000015616 y[1] (analytic) 0.9877735498784946 y[1] (numeric) 0.9877739790615088 absolute error 4.291830141278652e-07 relative error 4.344953498508425e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2755817633732525 Order of pole (three term test) 0.003383811792038426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7500000000015827 y[1] (analytic) 0.9878685801981661 y[1] (numeric) 0.9878690130660874 absolute error 4.328679212850517e-07 relative error 4.3818371184375404e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.285777024587852 Order of pole (three term test) 0.0019189315216866414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.760000000001604 y[1] (analytic) 0.987962731966432 y[1] (numeric) 0.9879631684799303 absolute error 4.3651349823647934e-07 relative error 4.4183194781815995e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.295972591162255 Order of pole (three term test) 0.00045643570228746943 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.770000000001625 y[1] (analytic) 0.9880560147864766 y[1] (numeric) 0.9880564549067117 absolute error 4.401202350345912e-07 relative error 4.4544057062362315e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3061684622372045 Order of pole (three term test) 0.0010036842530669538 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.780000000001646 y[1] (analytic) 0.9881484381385115 y[1] (numeric) 0.9881488818271278 absolute error 4.436886162917375e-07 relative error 4.490100871156206e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3163646369615805 Order of pole (three term test) 0.002461436920176942 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.790000000001667 y[1] (analytic) 0.9882400113815999 y[1] (numeric) 0.9882404586007189 absolute error 4.4721911895972966e-07 relative error 4.525409959211215e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3265611144924585 Order of pole (three term test) 0.003916830864556749 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8000000000016882 y[1] (analytic) 0.9883307437554506 y[1] (numeric) 0.9883311944676633 absolute error 4.5071221266290706e-07 relative error 4.560337877887869e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.336757893994542 Order of pole (three term test) 0.005369874638688919 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8100000000017094 y[1] (analytic) 0.9884206443821811 y[1] (numeric) 0.9884210985505416 absolute error 4.541683604752933e-07 relative error 4.5948894638797656e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.346954974641061 Order of pole (three term test) 0.006820576785943241 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8200000000017305 y[1] (analytic) 0.988509722268051 y[1] (numeric) 0.9885101798560706 absolute error 4.575880195867299e-07 relative error 4.629069489947285e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.357152355612288 Order of pole (three term test) 0.008268945832302064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8300000000017516 y[1] (analytic) 0.988597986305166 y[1] (numeric) 0.9885984472768052 absolute error 4.6097163919345263e-07 relative error 4.662882643695344e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3673500360966235 Order of pole (three term test) 0.009714990293330172 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8400000000017727 y[1] (analytic) 0.9886854452731535 y[1] (numeric) 0.9886859095928174 absolute error 4.6431966393978286e-07 relative error 4.696333562506332e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.377548015290017 Order of pole (three term test) 0.01115871866948483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8500000000017938 y[1] (analytic) 0.9887721078408099 y[1] (numeric) 0.9887725754733402 absolute error 4.6763253025439155e-07 relative error 4.729426796590821e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.387746292395876 Order of pole (three term test) 0.012600139446633104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.860000000001815 y[1] (analytic) 0.9888579825677203 y[1] (numeric) 0.9888584534783899 absolute error 4.709106695699461e-07 relative error 4.7621668416647136e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.397944866624988 Order of pole (three term test) 0.014039261095268967 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.870000000001836 y[1] (analytic) 0.9889430779058508 y[1] (numeric) 0.9889435520603572 absolute error 4.741545064357311e-07 relative error 4.794558119965642e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.408143737195556 Order of pole (three term test) 0.015476092070014765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.880000000001857 y[1] (analytic) 0.9890274022011147 y[1] (numeric) 0.9890278795655753 absolute error 4.773644605160499e-07 relative error 4.8266050005657955e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4183429033328334 Order of pole (three term test) 0.016910640808548774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.890000000001878 y[1] (analytic) 0.9891109636949128 y[1] (numeric) 0.989111444235857 absolute error 4.805409441477337e-07 relative error 4.858311774774287e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4285423642694988 Order of pole (three term test) 0.018342915732702917 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9000000000018993 y[1] (analytic) 0.9891937705256466 y[1] (numeric) 0.9891942542100122 absolute error 4.836843655597889e-07 relative error 4.889682688789724e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.438742119245317 Order of pole (three term test) 0.01977292524784106 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9100000000019204 y[1] (analytic) 0.9892758307302089 y[1] (numeric) 0.9892763175253353 absolute error 4.867951264309056e-07 relative error 4.920721919099046e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.448942167506604 Order of pole (three term test) 0.021200677738210518 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9200000000019415 y[1] (analytic) 0.9893571522454473 y[1] (numeric) 0.9893576421190688 absolute error 4.898736215563915e-07 relative error 4.9514335692077746e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4591425083070892 Order of pole (three term test) 0.022626181573151688 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9300000000019626 y[1] (analytic) 0.9894377429096053 y[1] (numeric) 0.989438235829847 absolute error 4.929202417347511e-07 relative error 4.981821698909905e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.469343140907033 Order of pole (three term test) 0.02404944510152124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9400000000019837 y[1] (analytic) 0.9895176104637385 y[1] (numeric) 0.9895181063991106 absolute error 4.959353721023518e-07 relative error 5.0118903075401674e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.479544064573322 Order of pole (three term test) 0.025470476652236434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.950000000002005 y[1] (analytic) 0.9895967625531085 y[1] (numeric) 0.9895972614725 absolute error 4.989193915783119e-07 relative error 5.041643328451537e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4897452785800227 Order of pole (three term test) 0.0268892845378794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.960000000002026 y[1] (analytic) 0.9896752067285529 y[1] (numeric) 0.9896757086012286 absolute error 5.018726756400582e-07 relative error 5.071084657147639e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4999467822071364 Order of pole (three term test) 0.02830587704695268 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.970000000002047 y[1] (analytic) 0.989752950447834 y[1] (numeric) 0.9897534552434263 absolute error 5.047955923265235e-07 relative error 5.100218110975253e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.51014857474169 Order of pole (three term test) 0.029720262451145528 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.980000000002068 y[1] (analytic) 0.9898300010769645 y[1] (numeric) 0.9898305087654705 absolute error 5.076885060129044e-07 relative error 5.1290474673481726e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.520350655476666 Order of pole (three term test) 0.031132448998060832 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.990000000002089 y[1] (analytic) 0.9899063658915122 y[1] (numeric) 0.9899068764432882 absolute error 5.10551776078394e-07 relative error 5.1575764503604316e-05% Correct digits 7 h 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.530553023711765 Order of pole (three term test) 0.0325424449165155 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh ( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; Iterations 10000 Total Elapsed Time 37 Seconds Elapsed Time(since restart) 37 Seconds Time to Timeout 29 Minutes 23.0 Seconds Percent Done 100.01000000021105%